58.9k views
14 votes
When r is equal to n, there is only one combination. why is this true?​

User Konstant
by
8.5k points

1 Answer

9 votes

Let's say both n = 3 and r = 3.

An example problem could be something like "We have 3 people to pick from and 3 seats to fill".

Each person would get their own seat. The order doesn't matter in a combination, which is why there's only one combination possible. A group like A,B,C is the same as B,C,A.

So in this case,
_3C_3 = 1 and more generally
_n C_n = 1 for any positive integer n.

User Ben Farmer
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.